Search a number
-
+
120970122 = 237213311021
BaseRepresentation
bin1110011010111…
…01101110001010
322102121220210220
413031131232022
5221432020442
620000450510
72666141400
oct715355612
9272556726
10120970122
1162314709
1234619a36
131c0a6670
14120cd470
15a947eec
hex735db8a

120970122 has 96 divisors (see below), whose sum is σ = 313173504. Its totient is φ = 30844800.

The previous prime is 120970111. The next prime is 120970123. The reversal of 120970122 is 221079021.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120970092 and 120970101.

It is not an unprimeable number, because it can be changed into a prime (120970123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117972 + ... + 118992.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2120970122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120970122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

120970122 is an abundant number, since it is smaller than the sum of its proper divisors (192203382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120970122 is a wasteful number, since it uses less digits than its factorization.

120970122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 120970122 is about 10998.6418252437. The cubic root of 120970122 is about 494.5680304500.

The spelling of 120970122 in words is "one hundred twenty million, nine hundred seventy thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 546 637 651 806 1021 1209 1274 1302 1519 1911 2042 2418 2821 3038 3063 3822 4557 5642 6126 7147 8463 9114 13273 14294 16926 19747 21441 26546 31651 39494 39819 42882 50029 59241 63302 79638 92911 94953 100058 118482 150087 185822 189906 221557 278733 300174 411463 443114 557466 650377 664671 822926 1234389 1300754 1329342 1550899 1951131 2468778 2880241 3101798 3902262 4652697 5760482 8640723 9305394 17281446 20161687 40323374 60485061 120970122